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Mental Oral Starters - Year 4
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Mental Oral Starters - Year 4

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Mental and oral starters for Year 4 Spring Teaching Sequence 3. Know multiplication facts for the 9 times table. Revise multiplication facts for 2, 3, 4, 5, 9 and 10 times tables, and learn corresponding division facts. Recognise multiples of 2, 3, 4, 5, 9 and 10, up to the tenth multiple. Learn the 9 times table and begin to learn related division facts. Find additional lesson plans and resources at www.hamilton-trust.org.uk.
The Festival of Britain
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The Festival of Britain

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Children watch TV footage and research the festival of Britain. They make a postcard of their favourite part and write a message on the back about what they liked.
Mental Oral Starters - Year 1
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Mental Oral Starters - Year 1

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Mental and oral starters for Year 1 Spring Teaching Sequence 3. Partition 5 and say the corresponding addition and subtraction facts. Partition 6 (or 5 or 4) and say the corresponding addition and subtraction facts. Find additional lesson plans and resources at www.hamilton-trust.org.uk.
Measure weights in g and kg - Teaching Presentation - Year 3
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Measure weights in g and kg - Teaching Presentation - Year 3

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This presentation provides three days of teaching that cover the objectives: Measure weights in g and kg Use bar charts It includes starter activities, whole class teaching, group activities, practice sheets and mastery questions. It can be used on a variety of interactive whiteboards. Day 1 Teaching Pass round a 1Kg bag of flour, and then a Kg weight so that children can feel how heavy this is. Then have 2 hoops (<1Kg and >1Kg) and pass objects round the circle. When music stops children place object in correct hoop. Day 2 Teaching Have a 1kg bag of flour and a 100g apple. Children pass round different objects and estimate their weights in relation to flour and apples. Use data to create a bar chart. Day 3 Teaching Children collect, record and interpret own data. Think of ideas of data they might be able to collect, e.g. Who has the longest index finger? Which is the longest leaf out of a collection? Who has the heaviest lunchbox? Etc. This teaching is part of Hamilton’s Year 3 Measures and Data block. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.
Year 1 Place Value: Problem-Solving Investigations
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Year 1 Place Value: Problem-Solving Investigations

6 Resources
These in-depth Year 1 Place Value problem-solving investigations will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas. Partition teen numbers; compare numbers to 20 Count to 100 in 1s and 10s Compare/order numbers < 100 Count to 100 in 1s and 10s; say 1 or 10 more/less Place value in 2-digit numbers Compare and order 2-digit numbers using place value Order 2-digit numbers using place value; say 10 more/less. In-depth Investigation: Fill in the Box Children fill a matchbox with items and count them accurately. In-depth Investigation: Tricky Tracks Children use reasoning and logic to play ahead in playing a game on a 1-20 track. In-depth Investigation: Domino Digits Children find which numbers on a 1 - 100 grid they can make using dominoes - each domino can only be used once. In-depth Investigation: Pairs in Purses Children use reasoning and logic to work out pairs of 2-digit amounts that can be made in the two purses given only ten coins. In-depth Investigation: Calculator Capers Children create teens numbers using place value additions. In-depth Investigation: New Neighbours Children use digit cards to make 2-digit numbers between neighbouring multiples of 10. These problem-solving investigations are part of our Year 1 Place Value block. Each Hamilton maths block contains a complete set of planning and resources to teach a terms worth of objectives for one of the National Curriculum for England’s maths areas.
Practice Worksheets: Sort shapes: Venn and Carroll diagrams. (Year 2 Shape and Data)
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Practice Worksheets: Sort shapes: Venn and Carroll diagrams. (Year 2 Shape and Data)

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Year 2 Shape and Data: Sort shapes according to two overlapping criteria using Venn and Carroll diagrams. Procedural fluency practice worksheets to achieve maths mastery. Differentiated for children working towards Age Related Expectations (ARE), at ARE and at greater depth. Day 1 - Sorting numerals into a Venn diagram according to symmetry and straight or curved lines. Day 2 - Sorting shapes into a Carroll diagram. Create your own Carroll diagram. These procedural fluency practice sheets are part of our Year 2 Shape and Data block. Each Hamilton maths block contains a complete set of planning and resources to teach a terms worth of objectives for one of the National Curriculum for England’s maths areas.
Practice Worksheets: Generate and continue linear sequences. (Year 6 Algebra)
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Practice Worksheets: Generate and continue linear sequences. (Year 6 Algebra)

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Year 6 Algebra: Generate and continue linear sequences. Procedural fluency practice Worksheets to achieve maths mastery. Differentiated for children working towards Age Related Expectations (ARE), at ARE and at greater depth. Day 1 - Work out the step increase/decrease in sequences in order to complete them. Sequences include those which pass through zero, and which increase/decrease by numbers with 1 decimal place. Day 2 - Children work in pairs to find the 10th, 100th then nth term for sequences. Day 3 - Draw the next spinner/staircase in a sequence. Find a relationship between the number of shapes in the spinner/staircase and its position in the sequence. These procedural fluency practice sheets are part of our Year 6 Algebra block. Each Hamilton maths block contains a complete set of planning and resources to teach a terms worth of objectives for one of the National Curriculum for England’s maths areas.
Problem-Solving Investigation: Draw, translate, reflect polygons. (Year 6 Shape)
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Problem-Solving Investigation: Draw, translate, reflect polygons. (Year 6 Shape)

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Year 6 Shape: Draw polygons in all quadrants; translate and reflect these. This in-depth Maths Investigation will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas. In-depth Investigation: Cycling Co-ordinates Children use a sequence of co-ordinates to create quadrilaterals. This problem-solving investigation is part of our Year 6 Shape block. Each Hamilton maths block contains a complete set of planning and resources to teach a terms worth of objectives for one of the National Curriculum for England’s maths areas.
Problem-Solving Investigation: Equivalent fractions: add and subtract (Year 6 Decimals & Fractions)
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Problem-Solving Investigation: Equivalent fractions: add and subtract (Year 6 Decimals & Fractions)

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Year 6 Decimals and Fractions: Equivalent fractions: compare, add, subtract. This in-depth Maths Investigation will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas. In-depth Investigation: Domino Fractions Children use dominoes to create fractions. They explore sums of fractions using equivalent fractions and related denominators. This problem-solving investigation is part of our Year 6 Decimals and Fractions block. Each Hamilton maths block contains a complete set of planning and resources to teach a terms worth of objectives for one of the National Curriculum for England’s maths areas.
Problem-Solving Investigation: Column subtraction, choose strategies. (Y5 Addition & Subtraction)
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Problem-Solving Investigation: Column subtraction, choose strategies. (Y5 Addition & Subtraction)

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Year 5 Addition and Subtraction: Column subtraction, and choosing a method. This in-depth Maths Investigation will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas. In-depth Investigation: Persistent Answers Children subtract numbers with consecutive digits from numbers with identical digits and record the different possible answers. This problem-solving investigation is part of our Year 5 Addition and Subtraction block. Each Hamilton maths block contains a complete set of planning and resources to teach a terms worth of objectives for one of the National Curriculum for England’s maths areas.
Problem-Solving Investigation: Place value in 2-digit numbers (Year 2 Place Value and Money)
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Problem-Solving Investigation: Place value in 2-digit numbers (Year 2 Place Value and Money)

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Year 2 Place Value and Money: Place value in 2-digit numbers. This in-depth Maths Investigation will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas. In-depth Investigation: Dancing Digits Children use place value addition and subtraction to write chains which ‘swap’ the 10s and 1s digits. This problem-solving investigation is part of our Year 2 Place Value and Money block. Each Hamilton maths block contains a complete set of planning and resources to teach a terms worth of objectives for one of the National Curriculum for England’s maths areas.
Practice Worksheets: Add/subtract 11, 12, 21, 22, etc (Year 2 More Addition and Subtraction)
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Practice Worksheets: Add/subtract 11, 12, 21, 22, etc (Year 2 More Addition and Subtraction)

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Year 2 More Addition and Subtraction: Add/subtract 11, 12, 21, 22, etc. to/from 2-digit numbers. Procedural fluency Practice Worksheets to achieve maths mastery. Differentiated for children working towards Age Related Expectations (ARE), at ARE and at greater depth. Day 1 Most children create their own questions by selecting pairs of numbers to add. Some will complete a challenge involving missing numbers. Day 2 Children are set different challenges to add 11, 12, 13, 21, 22, 23, 31, 32 or 33 to other 2-digit numbers; answers ≤110. Day 3 Children calculate which of a set of given numbers is required to make a set of given calculations correct. These procedural fluency practice sheets are part of our Year 2 More Addition and Subtraction block. Each Hamilton maths block contains a complete set of planning and resources to teach a terms worth of objectives for one of the National Curriculum for England’s maths areas.
Problem-Solving Investigation: Add/subtract 11, 12, 21, 22, etc (Year 2 More Addition & Subtraction)
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Problem-Solving Investigation: Add/subtract 11, 12, 21, 22, etc (Year 2 More Addition & Subtraction)

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Year 2 More Addition and Subtraction: Add/subtract 11, 12, 21, 22, etc. to/from 2-digit numbers. This in-depth Maths Investigation will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas. In-depth Investigation: Count Down to Zero Children take turns to subtract 1, 2 or 3 from a 2-digit number greater than 20. They use strategies to help them win a game by reaching zero first. This problem-solving investigation is part of our Year 2 More Addition and Subtraction block. Each Hamilton maths block contains a complete set of planning and resources to teach a terms worth of objectives for one of the National Curriculum for England’s maths areas.
Finding 1/2, 1/4, 3/4, 1/3, 2/3 of amounts - Problem-Solving Investigation - Year 3
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Finding 1/2, 1/4, 3/4, 1/3, 2/3 of amounts - Problem-Solving Investigation - Year 3

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This in-depth maths investigation is an open-ended problem solving activity for Year 3 children. It can be used to support teaching towards the objectives: Finding 1/2, 1/4, 3/4, 1/3, 2/3 of amounts. In-depth Investigation: Fraction Clues Children use their knowledge of fractions and tables to find mystery numbers. This investigation will develop maths meta-skills, support open-ended questioning and logical reasoning, and enable children to learn to think mathematically and articulate mathematical ideas. This problem-solving investigation is part of our Year 3 Fractions block. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.
Develop the concept of fractions - Problem-Solving Investigation - Year 3
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Develop the concept of fractions - Problem-Solving Investigation - Year 3

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This in-depth maths investigation is an open-ended problem solving activity for Year 3 children. It can be used to support teaching towards the objectives: Develop the concept of fractions. In-depth Investigation: Fraction Bets Children look at fractions and make a hypothesis of which ones are closest. They then test this out by placing fractions on a line. This investigation will develop maths meta-skills, support open-ended questioning and logical reasoning, and enable children to learn to think mathematically and articulate mathematical ideas. This problem-solving investigation is part of our Year 3 Fractions block. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.
Subtraction strategies; written methods - Problem-solving Investigation - Year 4
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Subtraction strategies; written methods - Problem-solving Investigation - Year 4

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This in-depth maths investigation is an open-ended problem solving activity for Year 4 children. It can be used to support teaching towards the objectives : Subtraction: written methods and choosing strategies In-depth Investigation: Wonderful 1089! Children add two 3-digit numbers and subtract a pair of 3-digit numbers to find patterns. They use mathematical reasoning to begin to explain what they find. This investigation will develop maths meta-skills, support open-ended questioning and logical reasoning, and enable children to learn to think mathematically and articulate mathematical ideas. This problem-solving investigation is part of our Year 4 Addition and Subtraction block. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.
Introduction to one place decimals - Problem-Solving Investigations - Year 4
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Introduction to one place decimals - Problem-Solving Investigations - Year 4

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This in-depth maths investigation is an open-ended problem solving activity for Year 4 children. It can be used to support teaching towards the objectives: Introduction to one place decimals. In-depth Investigation: Magical Square Decimals Children use the arrangement of digits on a magic square to create one place decimals. They try to demonstrate that they have found all the possibilities. This investigation will develop maths meta-skills, support open-ended questioning and logical reasoning, and enable children to learn to think mathematically and articulate mathematical ideas. This problem-solving investigation is part of our Year 4 Decimals and Fractions block. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.
Division using efficient chunking with remainders - Problem-Solving Investigation - Year 4
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Division using efficient chunking with remainders - Problem-Solving Investigation - Year 4

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This in-depth maths investigation is an open-ended problem solving activity for Year 4 children. It can be used to support teaching towards the objectives: Division using efficient chunking with remainders. In-depth Investigation: Rocking Remainders Children divide 11, 22, 33… 99 by 3, 4, 5 and look for patterns in the remainders. This investigation will develop maths meta-skills, support open-ended questioning and logical reasoning, and enable children to learn to think mathematically and articulate mathematical ideas. This problem-solving investigation is part of our Year 4 Multiplication and Division block. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.
Count in steps of 25/1000; Roman numerals - Problem-Solving Investigation - Year 4
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Count in steps of 25/1000; Roman numerals - Problem-Solving Investigation - Year 4

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This in-depth maths investigation is an open-ended problem solving activity for Year 4 children. It can be used to support teaching towards the objectives: Count in steps of 25/1000; Roman numerals. In-depth Investigation: Roman Numeral Teaser Children apply their knowledge of place value to a different number system. This investigation will develop maths meta-skills, support open-ended questioning and logical reasoning, and enable children to learn to think mathematically and articulate mathematical ideas. This problem-solving investigation is part of our [Year 4 Place Value] (https://www.hamilton-trust.org.uk/maths/year-4-maths/place-value-2/) block. Each Hamilton maths block contains a complete set of planning and resources to teach a term’s worth of objectives for one of the National Curriculum for England’s maths areas.
Problem-Solving Investigation: Place value additions: 4-digit numbers (Year 4 Place Value)
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Problem-Solving Investigation: Place value additions: 4-digit numbers (Year 4 Place Value)

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Year 4 Place Value: Add/subtract 1s, 10s, 100s and 1000s to/from 4-digit numbers. This in-depth Maths Investigation will develop maths meta-skills, and enable children to learn to think mathematically and articulate mathematical ideas. In-depth Investigation: Magic Chains Children use their knowledge of inverse operations to quickly work out a sequence of calculations. This problem-solving investigation is part of our Year 4 Place Value block. Each Hamilton maths block contains a complete set of planning and resources to teach a terms worth of objectives for one of the National Curriculum for England’s maths areas.